88216611215616 has 864 divisors, whose sum is σ = 305532729815040. Its totient is φ = 24183317200896.

The previous prime is 88216611215569. The next prime is 88216611215653. The reversal of 88216611215616 is 61651211661288.

It is a happy number.

88216611215616 is a `hidden beast` number, since 8 + 8 + 2 + 1 + 6 + 6 + 1 + 1 + 2 + 15 + 616 = 666.

88216611215616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16030637121 + ... + 16030642623.

Almost surely, 2^{88216611215616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88216611215616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152766364907520).

88216611215616 is an abundant number, since it is smaller than the sum of its proper divisors (217316118599424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88216611215616 is a wasteful number, since it uses less digits than its factorization.

88216611215616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7231 (or 7214 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 88216611215616 in words is "eighty-eight trillion, two hundred sixteen billion, six hundred eleven million, two hundred fifteen thousand, six hundred sixteen".